draw a circle point-by-point with a spiral path

I need a matlab program to draw a circle point-by-point  with a spiral path,  I have center and radius coordinates 

Answer 1

[Yash]

Refer to below code snippet to draw a spiral that starts from the circle's center and stops at the circumference.

xc = 5;  % x-coordinate of center of circle
yc = 7;  % y-coordinate of center of circle
r  = 4;  % radius of circle

theta_max = 6*pi;  % turns in spiral, spiral reaches radius at theta_max
n_points = 1000;  % points in spiral

t = linspace(0, theta_max, n_points);
max_r_spiral = r;
a = 0;
b = max_r_spiral / theta_max;

% Spiral path (polar coordinates)
spiral_r = a + b * t;
spiral_x = xc + spiral_r .* cos(t);
spiral_y = yc + spiral_r .* sin(t);

figure;
hold on;
axis equal;
plot(xc, yc, 'ko', 'MarkerFaceColor','k');
theta = linspace(0, 2*pi, 200);
plot(xc + r*cos(theta), yc + r*sin(theta), 'k--'); % reference circle

for k = 1:n_points
    plot(spiral_x(k), spiral_y(k), 'ro', 'MarkerSize', 3, 'MarkerFaceColor','r');
    pause(0.01);
end

title('Circle point-by-point with a Spiral Path');